Use the simplex method to solve the linear programming problem. Maximize z = 3x₁ + 2x2 subject to: 2x1 + 3x2 ≤ 4 4x1 + 2x2 ≤ 12 with x₁ ≥ 0, X2 20 Maximum is 9 when x1 = 3, x2 = 0 Maximum is 12 when x1 = 2, x2 = 3 Maximum is 4 when x1 = 0, x2 = 2 Maximum is 6 when x1 = 2, x2 = 0.

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